Question

The function f is said to be concave up
or simply concave at Xo E[a, b]​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Concept:

A function's maxima and minima are its biggest and smallest values, respectively, within a particular range or throughout the whole domain. They're also known as the function's extreme when they're all together.

Given:

The function $f(x)$ needs to be concave up.

Find:

The condition for the function $f(x)$ to be concave up.

Solution:

The condition for $f(x)$ to be concave up is,

$f''(x) \geq 0$ at the given point $(a,b)$. It indicates that the function has a minimum value at that point.

Hence, the $f''(x) \geq 0$ indicates concave up.